1192749716340 has 1920 divisors, whose sum is σ = 5279204367360. Its totient is φ = 218000719872.

The previous prime is 1192749716317. The next prime is 1192749716341. The reversal of 1192749716340 is 436179472911.

1192749716340 is a `hidden beast` number, since 1 + 1 + 92 + 7 + 497 + 1 + 63 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1192749716341) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1761816082 + ... + 1761816758.

It is an arithmetic number, because the mean of its divisors is an integer number (2749585608).

Almost surely, 2^{1192749716340} is an apocalyptic number.

1192749716340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1192749716340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639602183680).

1192749716340 is an abundant number, since it is smaller than the sum of its proper divisors (4086454651020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1192749716340 is a wasteful number, since it uses less digits than its factorization.

1192749716340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1192749716340 in words is "one trillion, one hundred ninety-two billion, seven hundred forty-nine million, seven hundred sixteen thousand, three hundred forty".